Theorems · Theorem · general topology
TopologicalSpace.Compacts.discreteTopology_iff
∀ {α : Type u_1} [inst : TopologicalSpace α], DiscreteTopology (TopologicalSpace.Compacts α) ↔ DiscreteTopology α- Defined in
- Mathlib.Topology.Sets.VietorisTopology
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- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- TopologicalSpace.Compactsstatement and proof · cited by 386
- DiscreteTopologystatement and proof · cited by 373
- Topology.IsEmbedding.discreteTopologyproof · cited by 6
- TopologicalSpace.Compacts.isEmbedding_singletonproof · cited by 6
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